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LCM of 674, 979, 445, 820

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 674, 979, 445, 820 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 674, 979, 445, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 674,979,445,820

Given numbers are 674,979,445,820

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 674,979,445,820 is 270536860.

Find LCM of 674,979,445,820 with Prime Factorization


2 674, 979, 445, 820
5 337, 979, 445, 410
89 337, 979, 89, 82
337, 11, 1, 82

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 89 x 337 x 11 x 1 x 82 = 270536860

Therefore, the lowest common multiple of 674,979,445,820 is 270536860.

LCM Formula to Find Lowest Common Multiple of 674,979,445,820

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

674 x 979 x 445 x 820 = 240777805400

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

674 : 1, 2, 337, 674

979 : 1, 11, 89, 979

445 : 1, 5, 89, 445

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,979,445,820, is 1.

Now, the common factors can be found like this.

674:2x 337

979:11x 89

445:5x 89

820:2x 2x 5x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 89 = 890

Therefore, the value for common factors is 890.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 240777805400/(1x890)

LCM = 240777805400/890

LCM = 270536860

Thus, we can understand that the LCM of 674,979,445,820 is 270536860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 674, 979, 445, 820

1. What is the LCM of 674, 979, 445, 820?

Answer: LCM of 674, 979, 445, 820 is 270536860.

2. How to calculate the LCM of 674, 979, 445, 820?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 674, 979, 445, 820.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.